Measurable cardinals and the cardinality of Lindel\"of spaces

TL;DR

This paper explores the implications of the consistency of measurable cardinals on the cardinality of Lindel"of spaces, showing that certain topological spaces have small cardinality under this assumption.

Contribution

It establishes a link between the existence of measurable cardinals and the cardinality constraints of Lindel"of spaces with specific properties.

Findings

If a measurable cardinal exists, then all points g-delta Rothberger spaces have small cardinality.

The consistency of measurable cardinals influences the size of certain topological spaces.

Abstract

If it is consistent that there is a measurable cardinal, then it is consistent that all points g-delta Rothberger spaces have "small" cardinality.